The length of AB is 4.12 units, length of BC is 8.25 units and Perimeter of rectangle ABCD is 24.74 units.
What is Perimeter of Rectangle?
The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here,
A (-3, 3) and B (1, 4)
then, Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
= [tex]\sqrt{(1-(-3))^2+(4-3)^2 }[/tex]
= [tex]\sqrt{4^2 + 1^2}[/tex]
= [tex]\sqrt{17}[/tex] units.
= 4.12 units
B (1, 4) and C (3, -4)
then, Length of BC = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
= [tex]\sqrt{(3 - 1)^2+(-4 - 4)^2 }[/tex]
= [tex]\sqrt{4 + 64}[/tex]
= [tex]\sqrt{68}[/tex]
= 8.25 units
Perimeter of Rectangle = 2 ( AB + BC )
= 2 ( 4.12 + 8.25 )
= 2 X 12.37
= 24.74 units
Thus, the length of AB is 4.12 units, length of BC is 8.25 units and Perimeter of rectangle ABCD is 24.74 units.
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